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Simplifying 0.12x + 1 = 0.1x + -2 Reorder the terms: 1 + 0.12x = 0.1x + -2 Reorder the terms: 1 + 0.12x = -2 + 0.1x Solving 1 + 0.12x = -2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 1 + 0.12x + -0.1x = -2 + 0.1x + -0.1x Combine like terms: 0.12x + -0.1x = 0.02x 1 + 0.02x = -2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 1 + 0.02x = -2 + 0.0 1 + 0.02x = -2 Add '-1' to each side of the equation. 1 + -1 + 0.02x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.02x = -2 + -1 0.02x = -2 + -1 Combine like terms: -2 + -1 = -3 0.02x = -3 Divide each side by '0.02'. x = -150 Simplifying x = -150
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